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Espaces de Berkovich sur Z : morphismes étales

Abstract : We develop properties of unramified, étale and smooth morphisms between Berkovich spaces over Z. We prove that they satisfy properties analogous to those of morphisms of schemes and we provide analytification criteria. Our results hold for any valued field, rings of integers of a number field and discrete valuation rings. Those cases are treated by a unified way.
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Preprints, Working Papers, ...
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https://hal-normandie-univ.archives-ouvertes.fr/hal-03466589
Contributor : Dorian Berger Connect in order to contact the contributor
Submitted on : Monday, December 6, 2021 - 8:45:11 AM
Last modification on : Tuesday, April 26, 2022 - 3:40:38 AM
Long-term archiving on: : Monday, March 7, 2022 - 6:13:43 PM

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  • HAL Id : hal-03466589, version 1

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Dorian Berger. Espaces de Berkovich sur Z : morphismes étales. 2021. ⟨hal-03466589v1⟩

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